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2 years ago

If you vertically stretch the exponential function f(x)=2^x by a factor of 3 what is the equation of the new function

Mathematics

1 answer:

Tanya [424]2 years ago

6 0

If you vertically stretch the exponential function f(x)=2^x by a factor of 3, the resulting function will be y = 3*2^x

<h3>Exponential function</h3>

The standard exponential function is expressed as:

y = ab^x

The value of x determines the nature of a graph whether vertical or horizontal stretch.

If x > 1, it is a vertical stretch

Given the function f(x) = 2^x, if you vertically stretch the exponential function f(x)=2^x by a factor of 3, the resulting function will be y = 3*2^x

Learn more on vertical stretch here: brainly.com/question/14325265

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An engineer is trying to design a runway for an airport. He knows that airplanes have the ability to accelerate at 3.3 m/s ^ 2 a

chubhunter [2.5K]

Answer:

The proposed 1600 meters runway length is not long enough

Step-by-step explanation:

The given parameters are;

The amount by which a plane can accelerate = 3.3 m/s²

The time it takes for a plane to lift off the ground = 35 seconds

The length of the runway on the blueprint = 1,600 meters

Therefore, from the equation of motion for distance traveled, s, acceleration, a, and time taken, t, we have;

s = u·t + 1/2·a·t²

Where;

u = The initial velocity

t = 35 seconds

a = 3.3 m/s²

Given that all planes will start motion from rest, we have;

u = 0 m/s

Therefore;

s = 0 × 35 + 1/2 × 3.3 × 35² = 2021.25 meters

Which indicates that the length of the runway a plane would need for take off should be at least 2021.25 meters long, therefore, the blueprint's 1600 meters runway length is not long enough.

7 0

4 years ago

44 × 20 × 10 = 440 × 2. but is it true or false ?

Vinil7 [7]

If you would like to know if 44 * 20 * 10 equals to 440 * 2, you can check it like this:

44 * 20 * 10 = 440 * 20 = 8800
and
440 * 2 = 880

So, the correct result is False, because 8800 is not equal to 880.

6 0

3 years ago

Read 2 more answers

Here is a system of equations:

laila [671]

Answer:

y = -10

Step-by-step explanation:

(-7x+3y) - (-7x +10y) =-65 -(-135)

-7x + 3y + 7x -10y = 70

-7y = 70

y = -10

7 0

3 years ago

Read 2 more answers

Which point would be a solution to the system of linear inequalities ?

brilliants [131]

Answer:

(12,-6)

Step-by-step explanation:

we have

$y\leq \frac{4}{3}x+5$ ----> inequality A

$y\geq -\frac{5}{2}x+5$ ---> inequality B

we know that

If a ordered pair is a solution of the system of inequalities, then the ordered pair must satisfy both inequalities (makes true both inequalities)

<u><em>Verify each point</em></u>

Substitute the value of x and the value of y of each ordered pair in the inequality A and in the inequality B

case 1) (0,-1)

Inequality A

$-1\leq \frac{4}{3}(0)+5$

$-1\leq5$ ----> is true

Inequality B

$-1\geq -\frac{5}{2}(0)+5$

$-1\geq 5$ ----> is not true

therefore

The ordered pair is not a solution of the system

case 2) (0,3)

Inequality A

$3\leq \frac{4}{3}(0)+5$

$3\leq5$ ----> is true

Inequality B

$3\geq -\frac{5}{2}(0)+5$

$3\geq 5$ ----> is not true

therefore

The ordered pair is not a solution of the system

case 3) (-6,-6)

Inequality A

$-6\leq \frac{4}{3}(-6)+5$

$-6\leq-3$ ----> is true

Inequality B

$-6\geq -\frac{5}{2}(-6)+5$

$-6\geq 20$ ----> is not true

therefore

The ordered pair is not a solution of the system

case 4) (12,-6)

Inequality A

$-6\leq \frac{4}{3}(12)+5$

$-6\leq21$ ----> is true

Inequality B

$-6\geq -\frac{5}{2}(12)+5$

$-6\geq -25$ ----> is true

therefore

The ordered pair is a solution of the system (makes true both inequalities)

8 0

3 years ago

7TH GRADE MATH! PLEASE HELP BRAINLIEST ANSWER!

Harlamova29_29 [7]

<span>If y varies directly with x, the formula of the equation is y=ax, where a is a constant.
y=ax
(21)=a(7)
a=3
y=ax
y=(3)(-1.66)
y=-4.98, x=-1.66

If y varies inversely with x, the formula of the equation is y=a/x, where a is a constant
y=a/x
9=a/2.5
a=22.5
y=22.5/x
y=22.5/-0.6
y=-37.5

I hope this helped! =)
I hope you didn't mind but I got this from a website called: answers.yahoo.com but I got your answer.
</span>

3 0

3 years ago

Read 2 more answers